Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
Please make all selections above before adding to cart
Spaces with Non-Symmetric Distance

eBook ISBN: | 978-0-8218-9977-9 |
Product Code: | MEMO/1/34.E |
List Price: | $17.00 |
MAA Member Price: | $15.30 |
AMS Member Price: | $13.60 |

Click above image for expanded view
Spaces with Non-Symmetric Distance
eBook ISBN: | 978-0-8218-9977-9 |
Product Code: | MEMO/1/34.E |
List Price: | $17.00 |
MAA Member Price: | $15.30 |
AMS Member Price: | $13.60 |
-
Book DetailsMemoirs of the American Mathematical SocietyVolume: 1; 1959; 91 ppMSC: Primary 53
-
Table of Contents
-
Chapters
-
Introduction
-
Part I. The basic concepts
-
1. General metric spaces
-
2. Compact and finitely compact general metric spaces
-
3. Curves and their lengths. Segments
-
4. Extremals
-
5. Example. The Minkowski geometry
-
6. Example. The quasihyperbolic geometry
-
7. Local homogeneity of $E$-spaces. The one-dimensional $E$-spaces
-
Part II. Perpendiculars and parallels
-
8. Convexity of spheres and perpendicularity
-
9. Limitspheres and corays
-
10. Asymptotes and parallels
-
Part III. Motions in $E$-spaces
-
11. Axial motions in $E$-spaces
-
12. Translations in straight $E$-surfaces
-
13. Motions of compact $E$-spaces
-
Part IV. $E$-spaces with transitive groups of motions
-
14. $E$-spaces with pairwise transitive groups of motions
-
15. The determination of all $E$-surfaces with transitive groups of motions
-
Part V. $E$-spaces with non-positive curvature
-
16. Introduction
-
17. Straightness of the universal covering space
-
Appendix I. The Funk geometry
-
Appendix II. A quasihyperbolic plane
-
-
RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
-
Chapters
-
Introduction
-
Part I. The basic concepts
-
1. General metric spaces
-
2. Compact and finitely compact general metric spaces
-
3. Curves and their lengths. Segments
-
4. Extremals
-
5. Example. The Minkowski geometry
-
6. Example. The quasihyperbolic geometry
-
7. Local homogeneity of $E$-spaces. The one-dimensional $E$-spaces
-
Part II. Perpendiculars and parallels
-
8. Convexity of spheres and perpendicularity
-
9. Limitspheres and corays
-
10. Asymptotes and parallels
-
Part III. Motions in $E$-spaces
-
11. Axial motions in $E$-spaces
-
12. Translations in straight $E$-surfaces
-
13. Motions of compact $E$-spaces
-
Part IV. $E$-spaces with transitive groups of motions
-
14. $E$-spaces with pairwise transitive groups of motions
-
15. The determination of all $E$-surfaces with transitive groups of motions
-
Part V. $E$-spaces with non-positive curvature
-
16. Introduction
-
17. Straightness of the universal covering space
-
Appendix I. The Funk geometry
-
Appendix II. A quasihyperbolic plane
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.